Завдання 5 ( 3 бали ) Транспортер під мас за годину 300 м3 гравю на висоту 7 м: Яка потужність
двигуна транспортера, якщо густина гравію 1,8 г/см³ СРОЧНООООООтветы на вопрос
Ответ:
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Объяснение:
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To calculate the power of the conveyor belt, we need to use the formula:
Power = Work / Time
In this case, the work done by the conveyor belt is equal to the force applied to lift the gravel multiplied by the distance it is lifted. The force applied can be calculated using the formula:
Force = Mass * Gravity
The mass of the gravel can be calculated using its density and volume:
Mass = Density * Volume
Given: - The conveyor belt transports 300 m^3 of gravel per hour. - The height the gravel is lifted is 7 m. - The density of the gravel is 1.8 g/cm^3.
Let's calculate the power of the conveyor belt step by step:
Step 1: Calculate the mass of the gravel
The volume of the gravel is given as 300 m^3. To calculate the mass, we need to convert the density from grams per cubic centimeter (g/cm^3) to grams per cubic meter (g/m^3).1 g/cm^3 = 1000 kg/m^3
So, the density of the gravel is 1.8 * 1000 = 1800 kg/m^3.
The mass of the gravel can be calculated using the formula:
Mass = Density * Volume
Mass = 1800 kg/m^3 * 300 m^3 = 540,000 kg
Step 2: Calculate the force applied to lift the gravel
The force applied can be calculated using the formula:Force = Mass * Gravity
Assuming the acceleration due to gravity is approximately 9.8 m/s^2, the force applied is:
Force = 540,000 kg * 9.8 m/s^2 = 5,292,000 N
Step 3: Calculate the work done by the conveyor belt
The work done by the conveyor belt is equal to the force applied multiplied by the distance it is lifted:Work = Force * Distance
Work = 5,292,000 N * 7 m = 37,044,000 Nm (or Joules)
Step 4: Calculate the power of the conveyor belt
The power of the conveyor belt can be calculated using the formula:Power = Work / Time
Since the work is given in Joules and the time is given in hours, we need to convert the time to seconds:
1 hour = 3600 seconds
Power = 37,044,000 Nm / (1 hour * 3600 seconds/hour) = 10.29 kW
Therefore, the power of the conveyor belt is approximately 10.29 kW.
Please note that this calculation assumes ideal conditions and does not take into account any losses or inefficiencies in the system.
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